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Phys. Rev. Lett. 40, 416–419 (1978)

Scaling Theory of the Asymmetric Anderson Model

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F. D. M. Haldane*
Bell Laboratories, Murray Hill, New Jersey 07974, and Physics Department, Princeton University, Princeton, New Jersey 08540

See Also: Erratum

Received 9 September 1977; revised 30 November 1977; published in the issue dated 6 February 1978

A scaling theory is used to show that for temperatures TU, the properties of the asymmetric Anderson model (U|Ed|, Δ) are universal functions of the scaling invariants Δ and Ed*=Ed+(Δ/π)ln(W0/Δ), where W0 is the conduction electron bandwidth or U, whichever is smaller. Crossovers between various regimes of simple behavior as the temperature changes are described. |Ed*|≲Δ is identified as the criterion for a "mixed-valence" ground state, where the susceptibility Δ-1. For -Ed*Δ, there is a local-moment regime with a Kondo temperature TKΔexp(πEd*/2Δ).

© 1978 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.40.416
DOI:
10.1103/PhysRevLett.40.416

*Current address: Institut Laue-Langevin, B.P. 156X, 38042 Grenoble, France.

See Also

Erratum: F. D. Haldane, Scaling Theory of the Asymmetric Anderson Model., Phys. Rev. Lett. 40, 911 (1978).